`y(x, t) =(0.8)/([(4x + 5t)^(2) +5])` represents a moving pulse where `x` and `y` are in metre and `t` in second. Then,choose the correct alternative(s):
(a) pules is moving in positive x- direction
(b) in `2 s` it will travel a distance of `2.5 m`
(c) its maximum displacement is `0.16 m`
(d) it is a sysmmetric pulse

Options

A. pulse is moving in + x direction
B. in 2 s it will travel a distance of 2.5 m
C. its maximum displacement is 0.16 m
D. it is a symmetric pulse

Answer

B, C, D

Explanation

wave velocity ` c = omega//k = 5//4 ms^(-1)`
Distance travellel in 2 s ` = 5 xx 2//4 = 2.5 m`
`y_(max) = 0.5//5 = 0.16`m